Multiplying and Dividing Scientific Notation

Front

What is scientific notation?

Back

A way of expressing numbers as a product of a coefficient and a power of 10, e.g., 3.5 x 10^4.

Front

How do you multiply numbers in scientific notation?

Back

Multiply the coefficients and add the exponents. For example, (a x 10^m)(b x 10^n) = (a*b) x 10^(m+n).

Front

How do you divide numbers in scientific notation?

Back

Divide the coefficients and subtract the exponents. For example, (a x 10^m) / (b x 10^n) = (a/b) x 10^(m-n).

Front

Calculate: (7.5 x 10^8)(2 x 10^3)

Back

1.5 x 10^12

Front

Calculate: (2 x 10^9)(4 x 10^-4)

Back

8 x 10^5

Front

Solve: (6 x 10^6) / (2 x 10^3)

Back

3 x 10^3

Front

Solve: (3 x 10^-5) / (4 x 10^2)

Back

7.5 x 10^-8

Front

Calculate: (8 x 10^4) / (4 x 10^2)

Back

2 x 10^3

Front

What is the coefficient in scientific notation?

Back

The number in front of the power of ten, which must be greater than or equal to 1 and less than 10.

Front

What is the power of ten in scientific notation?

Back

The exponent that indicates how many times the base (10) is multiplied by itself.